Cremona's table of elliptic curves

69192 = 2³ · 3² · 31²

Class	r	Atkin-Lehner	Eigenvalues
69192a (2 curves)	0	2+ 3+ 31-	2+ 3+  0  0 -4 -2 -6  4
Curve Equation t 69192a1 [0,0,0,-28830,1876833] 2 69192a2 [0,0,0,-14415,3753666] 2
69192b (1 curve)	0	2+ 3+ 31-	2+ 3+  1  2  3 -1 -1  5
Curve Equation t 69192b1 [0,0,0,93,-1922] 1
69192c (1 curve)	0	2+ 3+ 31-	2+ 3+  1  2 -3  1  1  5
Curve Equation t 69192c1 [0,0,0,89373,57258302] 1
69192d (1 curve)	0	2+ 3- 31+	2+ 3-  1 -3  1 -5 -3  1
Curve Equation t 69192d1 [0,0,0,-1698087,851486362] 1
69192e (1 curve)	0	2+ 3- 31+	2+ 3- -2  0  4  1  0 -5
Curve Equation t 69192e1 [0,0,0,6077364,72481622164] 1
69192f (1 curve)	0	2+ 3- 31+	2+ 3-  3  5 -1  1  5 -5
Curve Equation t 69192f1 [0,0,0,-625611,-186551242] 1
69192g (1 curve)	0	2+ 3- 31+	2+ 3- -3 -1 -1  7  5  7
Curve Equation t 69192g1 [0,0,0,-37479,2792666] 1
69192h (1 curve)	0	2+ 3- 31+	2+ 3- -3  3 -5 -1 -3 -5
Curve Equation t 69192h1 [0,0,0,-268119,-49870134] 1
69192i (1 curve)	1	2+ 3- 31-	2+ 3-  1 -3 -1  5  3  1
Curve Equation t Generators 69192i1 [0,0,0,-1767,-28582] 1 [-3005:232:125]
69192j (1 curve)	1	2+ 3- 31-	2+ 3-  1 -3 -4  2  0  1
Curve Equation t Generators 69192j1 [0,0,0,-833187,293649887] 1 [527:-961:1]
69192k (1 curve)	1	2+ 3- 31-	2+ 3- -1 -3 -2 -4 -4 -7
Curve Equation t Generators 69192k1 [0,0,0,-1213743,568084579] 1 [527:-8649:1]
69192l (6 curves)	1	2+ 3- 31-	2+ 3-  2  0  4  2  2 -4
Curve Equation t Generators 69192l1 [0,0,0,5766,208537] 2 [14880:200849:125] 69192l2 [0,0,0,-37479,2085370] 4 [-1126567:13388760:6859] 69192l3 [0,0,0,-210459,-35451290] 4 [-1759898002730:-8323873483365:6455635928] 69192l4 [0,0,0,-556419,159739342] 2 [-649:15732:1] 69192l5 [0,0,0,135501,-140553938] 2 [3231694155266318432836726:-100239202391682545410061205:3326401598812327922264] 69192l6 [0,0,0,-3324099,-2332694882] 2 [-7061891411380848216720994:-225589917683950984746945:6716656801613054502136]
69192m (2 curves)	1	2+ 3- 31-	2+ 3- -2  0  2 -4  6  4
Curve Equation t Generators 69192m1 [0,0,0,66309,-2085370] 2 [164362:3761354:1331] 69192m2 [0,0,0,-279651,-17100034] 2 [7957209766:-182887127746:9129329]
69192n (1 curve)	1	2+ 3- 31-	2+ 3- -2  0 -4 -1  0 -5
Curve Equation t Generators 69192n1 [0,0,0,6324,-2433004] 1 [1156:39366:1]
69192o (2 curves)	1	2+ 3- 31-	2+ 3- -2 -4  6  2 -4 -4
Curve Equation t Generators 69192o1 [0,0,0,-625611,286291510] 2 [2917591:54752688:4913] 69192o2 [0,0,0,-11350371,14715383614] 2 [4780103980122:3044046546346:2422300607]
69192p (2 curves)	1	2+ 3- 31-	2+ 3- -2 -4 -6 -2  4 -4
Curve Equation t Generators 69192p1 [0,0,0,-651,-9610] 2 [62:434:1] 69192p2 [0,0,0,-11811,-493954] 2 [134:574:1]
69192q (1 curve)	1	2+ 3- 31-	2+ 3-  3  1  4 -2 -6  1
Curve Equation t Generators 69192q1 [0,0,0,-5987991,5639942747] 1 [1423:711:1]
69192r (1 curve)	1	2+ 3- 31-	2+ 3-  3  1 -4  2  6  1
Curve Equation t Generators 69192r1 [0,0,0,-6231,-189317] 1 [227:3177:1]
69192s (1 curve)	1	2+ 3- 31-	2+ 3-  3  2 -5 -1  1  7
Curve Equation t Generators 69192s1 [0,0,0,-279651,-76205378] 1 [3281938:158752926:1331]
69192t (1 curve)	1	2+ 3- 31-	2+ 3-  3 -3  2  4  0  1
Curve Equation t Generators 69192t1 [0,0,0,8649,-804357] 1 [5487:406503:1]
69192u (1 curve)	1	2+ 3- 31-	2+ 3-  3  5  1 -1 -5 -5
Curve Equation t Generators 69192u1 [0,0,0,-651,6262] 1 [63:464:1]
69192v (1 curve)	1	2+ 3- 31-	2+ 3- -3  1  2  2  0  1
Curve Equation t Generators 69192v1 [0,0,0,1519341,28629151] 1 [4048693:241038981:1331]
69192w (1 curve)	1	2+ 3- 31-	2+ 3- -3  1 -2 -2  0  1
Curve Equation t Generators 69192w1 [0,0,0,1581,-961] 1 [31:-279:1]
69192x (1 curve)	1	2+ 3- 31-	2+ 3- -3 -1  1 -7 -5  7
Curve Equation t Generators 69192x1 [0,0,0,-36017319,-83196312806] 1 [-37572491511484557165:13217124036664060456:10819229327104717]
69192y (1 curve)	1	2+ 3- 31-	2+ 3- -3  3  5  1  3 -5
Curve Equation t Generators 69192y1 [0,0,0,-279,1674] 1 [7:8:1]
69192z (1 curve)	1	2+ 3- 31-	2+ 3- -3  5  4  2 -8  1
Curve Equation t Generators 69192z1 [0,0,0,8092581,-20532880721] 1 [281767773:15194691013:103823]
69192ba (2 curves)	1	2- 3+ 31-	2- 3+  0  0  4 -2  6  4
Curve Equation t Generators 69192ba1 [0,0,0,-259470,-50674491] 2 [528679378810:-7772639084209:761048497] 69192ba2 [0,0,0,-129735,-101348982] 2 [579642867:16262489826:571787]
69192bb (1 curve)	1	2- 3+ 31-	2- 3+ -1  2  3  1 -1  5
Curve Equation t Generators 69192bb1 [0,0,0,804357,-1545974154] 1 [6400298313061510:2396499082814345851:45652403224]
69192bc (1 curve)	1	2- 3+ 31-	2- 3+ -1  2 -3 -1  1  5
Curve Equation t Generators 69192bc1 [0,0,0,837,51894] 1 [-6:216:1]
69192bd (1 curve)	1	2- 3- 31+	2- 3- -1  3  5  1 -3  1
Curve Equation t Generators 69192bd1 [0,0,0,-2883,44206] 1 [-42:302:1]
69192be (1 curve)	1	2- 3- 31+	2- 3- -2 -5 -3  0 -6  6
Curve Equation t Generators 69192be1 [0,0,0,-625611,212409830] 1 [442:4716:1]
69192bf (1 curve)	1	2- 3- 31+	2- 3- -4  0  2  1  0  7
Curve Equation t Generators 69192bf1 [0,0,0,-357492,-129292940] 1 [96277860:2769630710:79507]
69192bg (1 curve)	0	2- 3- 31-	2- 3-  1  1  0  6  0 -3
Curve Equation t 69192bg1 [0,0,0,31713,-1400177] 1
69192bh (1 curve)	0	2- 3- 31-	2- 3- -1  3 -5 -1  3  1
Curve Equation t 69192bh1 [0,0,0,-2770563,-1316940946] 1
69192bi (1 curve)	2	2- 3- 31-	2- 3- -1 -3 -2  2 -6  1
Curve Equation t Generators 69192bi1 [0,0,0,-2883,863939] 1 [-83:729:1]&[-31:961:1]
69192bj (4 curves)	0	2- 3- 31-	2- 3-  2  0  4  2  6  4
Curve Equation t 69192bj1 [0,0,0,-2415954,-1445369947] 2 69192bj2 [0,0,0,-2459199,-1390941790] 4 69192bj3 [0,0,0,2211261,-6052994962] 2 69192bj4 [0,0,0,-7821579,6754513430] 2
69192bk (1 curve)	0	2- 3- 31-	2- 3- -2 -5  3  0  6  6
Curve Equation t 69192bk1 [0,0,0,-651,-7130] 1
69192bl (1 curve)	0	2- 3- 31-	2- 3-  3  1 -6  0 -4 -3
Curve Equation t 69192bl1 [0,0,0,66309,69502403] 1
69192bm (1 curve)	2	2- 3- 31-	2- 3- -4  0 -2 -1  0  7
Curve Equation t Generators 69192bm1 [0,0,0,-372,4340] 1 [-23:27:1]&[4:-54:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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